Question

During World War I, the Germans had a gun called Big Bertha that was used to shell Paris. The shell had an initial speed of 0.888 km/s at an initial inclination of 46.1° to the horizontal. The acceleration of gravity is 9.8 m/s 2. How far away did the shell hit?

Answer 1

369.38 km

speed,x = 2.07cos(28.8°) = 1.81 km/s

speed,y = 2.07sin(28.8°) = 1.00 km/s

v_{f}=v_{0} +a * t

0 = 1000 - 9.8 * t

9.8 * t = 1000

t = 102.04 s

After reaching the highest point the shell takes the same time to reach the ground where it was fired, so the total time it flies is 102.04* 2 = 204.08 s

d = 1.81 km/s * 204.08 s (I used the speed in km/s because the answer needs to be in km)

d = 369.38 km